frac{3sqrt{10}}{10}frac{sqrt{5}}{5}+frac{sqrt{10}}{10}frac{2sqrt{5}}{5} eching

$$\frac{ 3 \sqrt{ 10 } }{ 10 } \frac{ \sqrt{ 5 } }{ 5 } + \frac{ \sqrt{ 10 } }{ 10 } \frac{ 2 \sqrt{ 5 } }{ 5 }$$

Baholash

$$\frac{\sqrt{2}}{2}\approx 0,707106781$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3\sqrt{10}}{10} ni \frac{\sqrt{5}}{5} ga ko‘paytiring.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{10}}{10}\times \frac{2\sqrt{5}}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{10}}{10} ni \frac{2\sqrt{5}}{5} ga ko‘paytiring.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{10}\times 2\sqrt{5}}{10\times 5}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3\sqrt{10}\sqrt{5}}{10\times 5}+\frac{\sqrt{5}\sqrt{10}}{5\times 5}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5\times 5 ni kengaytirish.

$$\frac{3\sqrt{10}\sqrt{5}}{5\times 10}+\frac{\sqrt{5}\sqrt{10}}{5\times 10}$$

\frac{3\sqrt{10}\sqrt{5}}{5\times 10} va \frac{\sqrt{5}\sqrt{10}}{5\times 10} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\sqrt{10}\sqrt{5}+\sqrt{5}\sqrt{10}}{5\times 10}$$

3\sqrt{10}\sqrt{5}+\sqrt{5}\sqrt{10} ichidagi ko‘paytirishlarni bajaring.

$$\frac{15\sqrt{2}+5\sqrt{2}}{5\times 10}$$

15\sqrt{2}+5\sqrt{2} hisob-kitobini qiling.

$$\frac{20\sqrt{2}}{5\times 10}$$

Surat va maxrajdagi ikkala 2\times 5 ni qisqartiring.

$$\frac{2\sqrt{2}}{5}$$